Search a number
-
+
331002040443020 = 225237124674108141
BaseRepresentation
bin100101101000010110110101…
…1000010100110000010001100
31121101222111010022112000102222
41023100231223002212002030
5321341114134323134040
63131552123235434512
7126502052062331642
oct11320555302460214
91541874108460388
10331002040443020
11965161a4696511
123115a4b5755a38
131129048777731b
145ba4827211192
1528401c909ebb5
hex12d0b6b0a608c

331002040443020 has 96 divisors (see below), whose sum is σ = 735840404038656. Its totient is φ = 124809894316800.

The previous prime is 331002040443007. The next prime is 331002040443077. The reversal of 331002040443020 is 20344040200133.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78518150 + ... + 82626290.

It is an arithmetic number, because the mean of its divisors is an integer number (7665004208736).

Almost surely, 2331002040443020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331002040443020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367920202019328).

331002040443020 is an abundant number, since it is smaller than the sum of its proper divisors (404838363595636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331002040443020 is a wasteful number, since it uses less digits than its factorization.

331002040443020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4110711 (or 4110709 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 331002040443020 its reverse (20344040200133), we get a palindrome (351346080643153).

The spelling of 331002040443020 in words is "three hundred thirty-one trillion, two billion, forty million, four hundred forty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 71 92 115 142 230 284 355 460 710 1420 1633 2467 3266 4934 6532 8165 9868 12335 16330 24670 32660 49340 56741 113482 175157 226964 283705 350314 567410 700628 875785 1134820 1751570 3503140 4028611 4108141 8057222 8216282 16114444 16432564 20143055 20540705 40286110 41081410 80572220 82162820 94487243 188974486 291678011 377948972 472436215 583356022 944872430 1166712044 1458390055 1889744860 2916780110 5833560220 6708594253 10134783847 13417188506 20269567694 26834377012 33542971265 40539135388 50673919235 67085942530 101347838470 134171885060 202695676940 233100028481 466200056962 719569653137 932400113924 1165500142405 1439139306274 2331000284810 2878278612548 3597848265685 4662000569620 7195696531370 14391393062740 16550102022151 33100204044302 66200408088604 82750510110755 165501020221510 331002040443020